Announcements

• Please check the university's Information on Student Illness Note Policy.
• For students who wish to register this course, please read the department's Add/Drop Policy.
• The following schedule, is only tentative and may subject to changes as the course progresses. Please check it regularly for the most updated information.

Lecture Schedule and Assignment

Date	Topic	Section	Homework	Due Date
Week 1
Jan. 29	Introduction	Chapter 1	N/A	Feb. 5
Jan. 31	Contracting and eventually contracting maps	2.1, 2.6	(see the online lecture note)
Week 2
Feb. 5	Nondecreasing maps of intervals	2.3	(see the online lecture note)	Feb. 12
Feb. 7	Analysis of differential equations	2.4	(see the online lecture note)
Week 3
Feb. 12	Quadratic maps	2.5	(see the online lecture note)	Feb. 19
Feb. 14	Fractals	2.7	(see the online lecture note)
Week 4
Feb. 19	Linear maps. I	2.1, 3.1	(see the online lecture note)	Feb. 26
Feb. 21	Linear maps. II	3.1	(see the online lecture note)
Week 5
Feb. 26	Linear differential equations	3.2	3.2.1	Mar. 4
Feb. 28	Rotations of the circle	4.1	(see the online lecture note)
Week 6
Mar. 4	Equidistribution and ergodicity	4.1, 4.2		4.1.9, 4.2.5
Mar. 6	Invertible circle maps	4.3	(see the online lecture note)
Week 7
Mar. 11	Rotation numbers under small disturbance	4.4	(see the online lecture note)	Mar. 25
Mar. 13	Review	N/A	N/A
Week 8
Mar. 18	Spring Vacation	N/A	Have fun!	N/A
Mar. 20	Spring Vacation	N/A	Have fun!
Week 9
Mar. 25	Midterm Exam	N/A	N/A	N/A
Mar. 27	Exam Discussion	N/A
Week 10
Apr. 1	Preservation of phase volume and recurrence	6.1	6.1.2, 6.1.4, 6.1.6	Apr. 8
Apr. 3	Newtonian systems of classical mechanics	6.2	6.2.6
Week 11
Apr. 8	The billiard problem. I	4.2.5, 6.3	4.2.10, 6.3.2, 6.3.3, 6.3.4	Apr. 15
Apr. 10	The billiard problem. II	6.4	(see the lecture note)
Week 12
Apr. 15	Growth of periodic points	7.1	(see lecture note)	Apr. 22
Apr. 17	Chaos	7.2	(see lecture note)
Week 13
Apr. 22	Coding	7.3, 7.4	7.3.1, 7.3.5, 7.3.10	Apr. 29
Apr. 24	Equidistribution	7.5	7.5.2, 7.5.5
Week 14
Apr. 29	Entropy and chaos	Chapter 8	No Homework	N/A
May 1	Review	N/A	N/A
Week 16
May 11 2--5pm	Final Exam	whole semester	Good Luck!	N/A